When the correlation between X and Y is equal to zero, then the only possible value that the Y pred. may take on is
A) zero
B) a value equal to the slope
C) a value equal to the mean of X
D) a value equal to the mean of Y

Question

Quizplus · Accepted Answer

When the correlation between X and Y is zero, it means there is no linear relationship between X and Y. In such cases, the best prediction for Y would be its mean value because it is the most likely value for Y irrespective of the value of X. Therefore, the Y pred. may take on a value equal to the mean of Y.

When the Correlation Between X and Y Is Equal to Zero